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Finding the Fourth Proportional to 70,208.82, 96,888.16 and 38,377.84

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Solution

The fourth proportional to 70,208.82, 96,888.16 and 38,377.84 is: 52,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,208.82 : 96,888.16 = 38,377.84 : x
  2. Step 2: Convert to fraction form
    70,208.82/96,888.16 = 38,377.84/x
  3. Step 3: Cross multiply
    70,208.82x = 96,888.16 × 38,377.84
  4. Step 4: Simplify right side
    70,208.82x = 3,718,358,302.37
  5. Step 5: Solve for x
    x = 3,718,358,302.37/70,208.82
  6. Step 6: Final answer
    x = 52,961.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.